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Finding the Fourth Proportional to 407.00, 561.75 and 259.61

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Solution

The fourth proportional to 407.00, 561.75 and 259.61 is: 358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.00 : 561.75 = 259.61 : x
  2. Step 2: Convert to fraction form
    407.00/561.75 = 259.61/x
  3. Step 3: Cross multiply
    407.00x = 561.75 × 259.61
  4. Step 4: Simplify right side
    407.00x = 145,833.11
  5. Step 5: Solve for x
    x = 145,833.11/407.00
  6. Step 6: Final answer
    x = 358.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.